Possibly. I'm more inclined to think that he the son of William James Kermode MHK.
WA inherited plenty when WJ died in 1912.
WA purchased a house in Onchan for Gertrude to live in after her divorce. The property returned to him when Gertrude died from influenza in 1929. He quickly sold it.
Other than the name, William Alfred, I don't actually have any other info that might indicate which Kermode family he came from.